It sounds like the person who runs an HOA (Home Owner’s Association). They don’t oversee just a single property, as explained above. They manage a community of homes. People must agree to the HOA rules before they can live there. A lot of people do not like HOA’s because they often have nutty and invasive rules that make living unpleasant or worse, and that was certainly our experience!
https://theweek.com/articles/498533/7-insane-homeowners-association-rules We will never live in another HOA if we can help it.
I don’t know that I’d call it a middle management position because I don’t think there are any managers under you to manage. You get someone to mow the grass, you handle complaints and administrative duties and walk the property periodically to write down license plate numbers, and take photos of violations of noncompliance of the rules, and levy fines against homeowners.